CN-122020761-A - Artwork design method based on water flow numerical model simulation

CN122020761ACN 122020761 ACN122020761 ACN 122020761ACN-122020761-A

Abstract

The invention discloses a artwork design method based on water flow numerical model simulation, which relates to the technical field of process design and comprises the steps of taking structured flow field gradient data as geometric boundary evolution driving information, continuously iterating and updating a parameterized initial geometric matrix by utilizing an implicit topology evolution algorithm to enable the geometric boundary to directionally evolve under the driving of the flow field gradient until a preset stable condition is reached to form a stable three-dimensional topological structure model, calling a flow direction vector field in the structured flow field gradient data to carry out surface path tracking and parameter mapping on the basis of the stable three-dimensional topological structure model, enabling the flow direction path to be projected onto the surface of the model and generating a continuous texture structure to obtain a textured three-dimensional structure model, and continuously iterating and updating the parameterized initial geometric matrix by utilizing the implicit topology evolution algorithm to enable the geometric boundary to automatically directionally evolve under the driving of the flow field gradient, so that the structure form can be gradually optimized along with the change of flow characteristics.

Inventors

WANG JUE
LIU YAOXIN

Assignees

厦门理工学院

Dates

Publication Date: 20260512
Application Date: 20260415

Claims (10)

1. A design method of an artwork based on water flow numerical model simulation is characterized by comprising the following steps of, Constructing an evolvable parameterized initial geometric matrix in computer aided design software, and performing water flow numerical simulation in a fluid calculation area where the parameterized initial geometric matrix is positioned to generate structured flow field gradient data; Continuously iterating and updating the parameterized initial geometric matrix by using an implicit topology evolution algorithm by taking the structured flow field gradient data as geometric boundary evolution driving information to enable the geometric boundary to directionally evolve under the flow field gradient driving until reaching a preset stable condition to form a stable three-dimensional topology structure model, wherein each iteration carries out water flow numerical simulation again according to the current geometric boundary to update the structured flow field gradient data for driving the geometric evolution of the next round; on the basis of stabilizing the three-dimensional topological structure model, calling a flow direction vector field in the structured flow field gradient data to carry out surface path tracking and parameter mapping, so that a flow direction path is projected to the surface of the model, and a textured three-dimensional structure model is obtained; and carrying out manufacturing constraint analysis on the textured three-dimensional structure model, correcting the local structure of the textured three-dimensional structure model according to the constraint result obtained by the analysis, and outputting a digital manufacturing model meeting manufacturing conditions.
2. The method for designing an artwork based on water flow numerical model simulation according to claim 1, wherein the evolvable parameterized initial geometric matrix is constructed by establishing a continuum three-dimensional model in computer aided design software in an implicit function expression mode and setting an adjustable parameter set for the continuum three-dimensional model.
3. The method for designing an artwork based on water flow numerical model simulation of claim 1, wherein the generation of structured flow field gradient data is specifically as follows: carrying out water flow numerical solution calculation in a fluid calculation area where the parameterized initial geometric matrix is positioned, and obtaining speed field data and pressure field data; Carrying out space gradient calculation on a speed component in the speed field data and a pressure scalar value in the pressure field data to form a flow field gradient matrix; And carrying out data encapsulation processing on the flow field gradient matrix to generate structured flow field gradient data.
4. The method for designing an artwork based on water flow numerical model simulation according to claim 1, wherein the continuous iterative updating of the parameterized initial geometric matrix by using the implicit topology evolution algorithm is specifically as follows: Converting the parameterized initial geometric matrix into an implicit function expression form, and constructing boundary evolution speed data based on speed gradient intensity values in the structured flow field gradient data; performing numerical update calculation on the implicit function expression according to the boundary evolution speed data to obtain an updated implicit function expression, and reconstructing the geometric boundary of the parameterized initial geometric matrix according to the updated implicit function expression; Performing water flow numerical solution calculation on a fluid calculation area where the reconstructed geometric boundary is positioned, generating updated structured flow field gradient data, and reconstructing boundary evolution speed data according to the updated structured flow field gradient data; And carrying out iteration control on the numerical value updating process of the implicit function expression, and stopping iteration and outputting a stable three-dimensional topological structure model when the geometric border variation in the continuous preset times of iteration is lower than a preset updating threshold value.
5. The method for designing an artwork based on water flow numerical model simulation according to claim 4, wherein the converting of the parameterized initial geometric matrix into the implicit function expression form is as follows: Performing space discrete processing on the parameterized initial geometric matrix to obtain a geometric boundary discrete node set; Constructing a symbol distance function based on the geometric boundary discrete node set, taking the symbol distance function as an implicit function expression form, and establishing a numerical value corresponding relation between the implicit function expression form and the geometric boundary discrete node set; And data packaging is carried out on the implicit function expression form, and an implicit function expression data structure is generated.
6. The method for designing an artwork based on water flow numerical model simulation as set forth in claim 4, wherein the construction boundary evolution speed data specifically includes: Extracting a velocity gradient intensity value and a flow vector field from the structured flow field gradient data; after the velocity gradient intensity values are normalized, determining the evolution direction and the evolution rate of each discrete node of the geometric boundary by combining the flow direction vector field; and carrying out numerical encapsulation processing on the evolution rate of each discrete node to form boundary evolution speed data.
7. The method for designing an artwork based on water flow numerical model simulation of claim 1, wherein the textured three-dimensional structure model is obtained by the following steps: Extracting a flow direction vector field from the structured flow field gradient data, performing flow direction path tracking calculation on the surface nodes of the surface of the stable three-dimensional topological structure model based on the flow direction vector field, generating a flow direction path set, and mapping the flow direction path set to the surface of the stable three-dimensional topological structure model; carrying out local offset calculation on the surface of the stable three-dimensional topological structure model according to the velocity gradient intensity value corresponding to the flow direction path set to generate a continuous texture structure; And carrying out curved surface reconstruction on the stable three-dimensional topological structure model with the continuous texture structure to obtain a textured three-dimensional structure model.
8. The method for designing an artwork based on water flow numerical model simulation of claim 1, wherein the constraint results are manufacturing constraint data generated by performing minimum wall thickness detection, over-hang angle detection and internal cavity closure detection on a textured three-dimensional structure model; the manufacturing constraint data comprises a minimum wall thickness detection result, an oversuspension angle detection result and an internal cavity closure detection result, wherein the minimum wall thickness detection result comprises a grid node number corresponding to a wall thickness insufficient position, the oversuspension angle detection result comprises a triangular grid center number corresponding to an oversuspension angle overrun position, and the internal cavity closure detection result comprises a spatial position which does not correspond to an external spatial communication position.
9. The method for designing an artwork based on water flow numerical model simulation according to claim 1, wherein the digital manufacturing model with output meeting manufacturing conditions is specifically: performing three-dimensional grid reconstruction calculation on the textured three-dimensional structure model to generate standard triangular grid data; Grid connectivity verification and normal consistency verification are carried out on the standard triangular grid data to form the compliant triangular grid data; and converting the compliance triangular mesh data into a target manufacturing format data file, packaging the data, and outputting a digital manufacturing model meeting manufacturing conditions.
10. The method for designing an artwork based on water flow numerical model simulation as set forth in claim 4, wherein the preset updating threshold is an iterative convergence determination threshold set according to a speed gradient intensity value distribution range in the structured flow field gradient data and a spatial scale parameter of the parameterized initial geometric substrate.

Description

Artwork design method based on water flow numerical model simulation Technical Field The invention relates to the technical field of process design, in particular to a handicraft design method based on water flow numerical model simulation. Background Along with the continuous development of digital design technology and computer aided design technology, a morphological generation method based on numerical simulation driving gradually becomes an important research direction in the fields of industrial design, product modeling design and artistic artwork design. In the conventional art design process, a designer usually relies on experience or aesthetic rules to manually model and adjust geometric shapes, surface textures and structural layouts, and the design result depends largely on design experience and subjective judgment. In recent years, the computational fluid dynamics technology and the computer aided design technology are gradually integrated, so that the geometric form generation can be driven by the motion law of fluids such as water flow, air flow and the like. Related researches show that by carrying out numerical simulation on the fluid state, the flow velocity distribution, the pressure distribution and the vortex structure, the flow map and gradient data reflecting the fluid dynamic characteristics can be obtained, and the flow characteristics are mapped to the three-dimensional structure form or the surface texture, so that the modeling design with the natural flow characteristics is formed. For example, in landscape waterscape devices, artistic sculptures, and functional structural designs, attempts have been made to use fluid simulation results to guide structural surface layout, runner structure distribution, and decorative texture generation. However, the existing design method based on fluid simulation still has the place to be improved in the practical application process, and most of the prior art only uses the fluid simulation result as design reference data, adjusts the model form in a manual mode, and lacks a direct coupling mechanism between the flow field data and the geometric model, so that the fluid dynamics characteristics are difficult to fully express in the three-dimensional structure form, the design process efficiency is low, and the result stability is insufficient. Secondly, the existing method generally carries out independent geometric modeling or texture design after flow field analysis is completed, a continuous iteration updating mechanism is absent between fluid information and a geometric structure, and automatic evolution of a geometric boundary under flow field gradient driving is difficult to realize, so that improvement of design scheme in terms of morphological complexity and structural rationality is limited. Disclosure of Invention The present invention has been made in view of the above-described problems occurring in the prior art. Therefore, the invention provides a handicraft design method based on water flow numerical model simulation, which solves the problems that most of the prior art only uses a fluid simulation result as design reference data and lacks a continuous iteration updating mechanism. In order to solve the technical problems, the invention provides the following technical scheme: The invention provides a handicraft design method based on water flow numerical model simulation, which comprises the following steps of, Constructing an evolvable parameterized initial geometric matrix in computer aided design software, and performing water flow numerical simulation in a fluid calculation area where the parameterized initial geometric matrix is positioned to generate structured flow field gradient data; Continuously iterating and updating the parameterized initial geometric matrix by using an implicit topology evolution algorithm by taking the structured flow field gradient data as geometric boundary evolution driving information to enable the geometric boundary to directionally evolve under the flow field gradient driving until reaching a preset stable condition to form a stable three-dimensional topology structure model, wherein each iteration carries out water flow numerical simulation again according to the current geometric boundary to update the structured flow field gradient data for driving the geometric evolution of the next round; on the basis of stabilizing the three-dimensional topological structure model, calling a flow direction vector field in the structured flow field gradient data to carry out surface path tracking and parameter mapping, so that a flow direction path is projected to the surface of the model, and a textured three-dimensional structure model is obtained; and carrying out manufacturing constraint analysis on the textured three-dimensional structure model, correcting the local structure of the textured three-dimensional structure model according to the constraint result obtained by the analysis, and outputting a